4677792 has 48 divisors (see below), whose sum is σ = 14035392. Its totient is φ = 1336320.

The previous prime is 4677779. The next prime is 4677817. The reversal of 4677792 is 2977764.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2809 + ... + 4152.

It is an arithmetic number, because the mean of its divisors is an integer number (292404).

Almost surely, 2^4677792 is an apocalyptic number.

4677792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4677792 is an abundant number, since it is smaller than the sum of its proper divisors (9357600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4677792 is a wasteful number, since it uses less digits than its factorization.

4677792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6981 (or 6973 counting only the distinct ones).

The product of its digits is 148176, while the sum is 42.

The square root of 4677792 is about 2162.8203808916. The cubic root of 4677792 is about 167.2426224679.

The spelling of 4677792 in words is "four million, six hundred seventy-seven thousand, seven hundred ninety-two".